Respuesta :

Given, volume of cone = [tex]120\pi cm^3[/tex]

Radius of the cone = 6 centimeters.

The formula for the volume of cone is :

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Substituting the known values in the formula gives,

[tex]120\pi =\frac{1}{3} \pi (6^2)h[/tex]

Cancelling [tex]\pi[/tex] from both sides and simplifying.

[tex]120 = \frac{1}{3} 36h[/tex]

[tex]120 = 12h[/tex]

[tex]height=10[/tex] .... Answer


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